Mathematics: What quadratic function does the graph represent?

What quadratic function does the graph represent?

Ответ:

goofy44

13.01.2022

Mathematics

$f(x)=-\frac{1}{3}(x-2)^2+4$ ,

Step-by-step explanation:

The function of the graph can be written in the vertex form as

f(x)=a(x-h)^2+k , where V(h,k)=V(2,4) is the vertex of the quadratic function.

We substitute the value to obtain;

f(x)=a(x-2)^2+4 ,

The point (5,1) lies on the graph so we use it to determine the value of a.

1=a(5-2)^2+4 ,

1-4=a(3)^2 ,

-3=9a ,

$a=-\frac{1}{3}$

The required equation is

$f(x)=-\frac{1}{3}(x-2)^2+4$ ,

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Ответ:

theoriginalstal9245

02.05.2022

Mathematics

The correct option is B.
This question is testing your knowledge of the differences between solid and liquid particles. The particles of the solid vibrate around a fixed position, they can not move about while those of the liquid are able to move to some extent. The candy in Damien's pocket melted because it was heated up by the temperature of his body. Because the particles of the chocolate has been heated, they gain more kinetic energy and they vibrate faster compare to that of the solid chocolate.

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What quadratic function does the graph represent?

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